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GEOMETRY 2nd SEMESTER TEST REVIEW A. Using the Angle Sum and Exterior Angle theorems, find the measures of various angles … 1. In a single triangle (Test 4, #5) 2. Algebraically (Test 4, #7) B. Solve problems when given a triangle congruence, and side lengths or angle measures. (Test 4, #10) C. Given 2 triangles with congruent parts, state which triangle congruence property applies [SSS, SAS, AAS, ASA, HL, none]. (Test 4, #12) D. Do a 2-column proof showing that 2 triangles are congruent by use of the triangle congruence properties. (Test 4, #13) E. Use the Isosceles Triangle Theorem to find side and angle measures of triangles. (Test 4, #17) F. Given 2 sides of a triangle, give the range of possible values for the 3rd side. (Test 4, #21) G. Given several angle measures for interior angles of a polygon, find the remaining angle measure. (Test 5, #3) H. Find the missing measures in a parallelogram using the properties of a parallelogram. (Test 5, #8) I. Find the missing measures of parts of a rhombus using properties of rhombii. (Test 5, #16) J. Find the measures of parts of a trapezoid, including the median. (Test 5, #20) K. Find the perimeter and area (along with the correct units of measure) of parallelograms, rectangles, and triangles. (Test 5, #20,21) L. Solve similarity problems using proportions. (Test 6, #5) M. Given the lengths of the 3 sides of each of 2 triangles, determine whether or not the 2 triangles are similar, and show why. (Test 6, #11) N. Solve problems using the Triangle Proportionality Theorem and its corollaries. (Test 6, #13) O. Solve problems relating the scale factor of similar triangles to the ratio of areas. (Test 6, #18) P. Perform operations on radicals. 1. Simplifying (Test 7, #1) 2. Addition/Subtraction (Test 7, #2) Q. Use the Pythagorean Theorem to find a missing side measure (in decimal form) of a right triangle. (Test 7, #5) MORE ON THE OPPOSITE SIDE R. Given the 3 side measures of a triangle, use the converse of the Pythagorean Theorem to determine whether or not the triangle is a right triangle, and show why. (Test 7, #7) S. Find the missing side measures of 45-45-90 and 30-60-90 triangles. (Test 7, #9) T. Find trigonometric ratios in right triangles. (Test 7, #11) U. Use trigonometric ratios to find the measures of missing parts of right triangles. (page 368, #43-48) V. Identify the parts of a circle in a figure: radius, diameter, chord, tangent. (Test 8, #1) W. Given one of the following 3 dimensions, find the other 2. (Test 8, #3) 1. Radius 2. Diameter 3. Circumference X. In a figure showing a circle with central angles, find various arc and angle measures. 1. Numerically (Test 8, #6) 2. Algebraically (Test 8, #8) Y. Find the area of a given sector of a circle. (Test 8, #11) Z. Given an equation of the circle, determine the coordinates of the center, the radius length, and then graph the circle in the coordinate plane. (Test 8, #17) AA. Using the relationship between the measure of an inscribed angle of a circle and the measure of the arc it intercepts, find various arc and angle measures within the circle. (Test 8, #20)